5 papers
Algebra and Geometry of Irreducible toric vector bundles of rank on
Courtney George, Christopher Manon
We construct a presentation for the Cox ring of the projectivization of any rank irreducible toric vector bundle on . We use this presenta…
Positivity properties of divisors on Toric Vector Bundles
Courtney George, Christopher Manon
We use presentations of the Cox rings of projectivized toric vector bundles and elements of matroid theory to compute Newton-Okounkov bodies, effective cones, and nef cones of thes…
Cox rings of projectivized toric vector bundles and toric flag Bundles
Courtney George, Christopher Manon
Work of González, Hering, Payne, and Süss shows that it is possible to find both examples and non-examples of Mori dream spaces among projectivized toric vector bundles. This resul…
Spectral properties of graphs associated to the Basilica group
Antoni Brzoska, Courtney George, Samantha Jarvis +2
We provide the foundation of the spectral analysis of the Laplacian on the orbital Schreier graphs of the Basilica group, the iterated monodromy group of the quadratic polynomial $…
Counting odd numbers in truncations of Pascal's triangle
Robert G. Donnelly, Molly W. Dunkum, Courtney George +1
A "truncation" of Pascal's triangle is a triangular array of numbers that satisfies the usual Pascal recurrence but with a boundary condition that declares some terminal set of num…